31987680201 has 9 divisors (see below), whose sum is σ = 46205201991. Its totient is φ = 21324762432.

The previous prime is 31987680157. The next prime is 31987680211. The reversal of 31987680201 is 10208678913.

The square root of 31987680201 is 178851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31814073225 + 173606976 = 178365^2 + 13176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-31987680201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31987680211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 506745 + ... + 566361.

Almost surely, 2^31987680201 is an apocalyptic number.

31987680201 is the 178851-st square number.

31987680201 is the 89426-th centered octagonal number.

It is an amenable number.

31987680201 is a deficient number, since it is larger than the sum of its proper divisors (14217521790).

31987680201 is an frugal number, since it uses more digits than its factorization.

31987680201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119240 (or 59620 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 31987680201 in words is "thirty-one billion, nine hundred eighty-seven million, six hundred eighty thousand, two hundred one".